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Finding the Fourth Proportional to 100,424.34, 138,580.38 and 57,980.34

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Solution

The fourth proportional to 100,424.34, 138,580.38 and 57,980.34 is: 80,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,424.34 : 138,580.38 = 57,980.34 : x
  2. Step 2: Convert to fraction form
    100,424.34/138,580.38 = 57,980.34/x
  3. Step 3: Cross multiply
    100,424.34x = 138,580.38 × 57,980.34
  4. Step 4: Simplify right side
    100,424.34x = 8,034,937,549.73
  5. Step 5: Solve for x
    x = 8,034,937,549.73/100,424.34
  6. Step 6: Final answer
    x = 80,009.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.